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6.3 practice

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Name Class DatePractice 6-3 Applying Linear FunctionsModel each situation with a linear function and graph. Is it reasonable to include negativenumbers in the range?1. A gas station that fills portable propane tanks (such as are used for camping and for outdoor barbecues) charges $2.60 per gallon.2. The weight of a bucket of golfballs is a function of the number of balls, each of which weighs 1.6 oz. The bucket itself weighs 2 lb.3. It costs a farmer $110 to bring 150 pounds of tomatoes to market, and the tomatoes sell for $2 per pound. The difference between the income from sales and the cost is the farmer’s profit.4. A newly-started high school hopes to enroll 80 students in its first year and to increase enrollment by 40 students per year over the next five years.5. Temperature on the Fahrenheit scale is a linear function of temperature on the Celsius scale. Ten degrees Celsius equals 50 degrees Fahrenheit, and 25 degrees Celsius equals 77 degrees Fahrenheit.

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6. Natalie spends 90 minutes doing her math and English homework. The time she spends on her math homework is a function of the time she spends on her English homework.Write a linear function for each graph, and state and interpret the slopeand the y-intercept in each case. 7. A caterer charges a flat fee to put on an event, plus a per-person cost based on how many guests attend. 8. Total cost of operating a rental car for one day is a function of rental fee plus cost of gasoline.